Sentence examples for by introducing an interval from inspiring English sources

However, Yang [17] gave a result by introducing an interval variable and proved that the constant factor is best possible.

Yang [15] proved some results by introducing an interval variable and that the constant factors are best possible.

And, Yang [16] gave a result by introducing an interval variable and proved that the constant factor is the best possible.

However, Yang [4] gave a result by introducing an interval variable and proved that the constant factor is the best possible.

Yang [25] gave an inequality with the kernel (frac {1}{(1+nx)^{lambda}}) by introducing an interval variable and proved that the constant factor is the best possible.

However Yang [17] gave a result with the kernel 1 1 + n x λ by introducing an interval variable and proved that the constant factor is the best possible.

By introducing a borderline interval between 1.35 and 1.65, where an additional 30 nuclei must be scored, concordance increased to 0.99, surpassing the guidelines set forth by Wolff et al. In the specimens scored in the present study, these updated guidelines would have reduced the amount of nuclei scored by 30.6%.

Recently, Li et al. [22] investigated equation (1.2) with impulses and obtained several interval oscillation theorems by introducing an auxiliary function of one variable and generalized and extended some known results in [9, 17, 23].

By introducing an auxiliary constraint, a logarithmic least square model is established to generate interval multiplicative weights from acceptable IMCMs.

By introducing an auxiliary function of two variables and using a Riccati transformation, we establish some Kamenev type (cf. Philos [24]) interval oscillation criteria.

We attempted to focus on normalization that takes place at higher and more central levels in the processing stream by introducing a 500-ms precursor target interval.